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In: Statistics and Probability

If n =400 and X = 140​, construct a 99​% confidence interval estimate for the population...

If n =400 and X = 140​, construct a 99​% confidence interval estimate for the population proportion.

? ≤ π ≤ ?

​(Round to four decimal places as​ needed.)

Solutions

Expert Solution

Solution :

Given that,

Point estimate = sample proportion = = x / n = 140 / 400 = 0.350

1 - = 1 - 0.350 = 0.65

Z/2 = 2.576

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 2.576 * (((0.350 * 0.65) / 400)

Margin of error = E = 0.0614

A 99% confidence interval for population proportion p is ,

- E π + E

0.350 - 0.0614 π 0.350 + 0.0614

0.2886 π 0.4114

orchestra answered 2 years ago
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